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On varieties of graphs

Alfonz HaviarRoman Nedela — 1998

Discussiones Mathematicae Graph Theory

In this paper, we introduce the notion of a variety of graphs closed under isomorphic images, subgraph identifications and induced subgraphs (induced connected subgraphs) firstly and next closed under isomorphic images, subgraph identifications, circuits and cliques. The structure of the corresponding lattices is investigated.

On varieties of orgraphs

Alfonz HaviarGabriela Monoszová — 2001

Discussiones Mathematicae Graph Theory

In this paper we investigate varieties of orgraphs (that is, oriented graphs) as classes of orgraphs closed under isomorphic images, suborgraph identifications and induced suborgraphs, and we study the lattice of varieties of tournament-free orgraphs.

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